Nonlinear DNA dynamics: nonlinearity versus dispersion
Slobodan Zdravkovi\'c, Miljko V. Satari\'c
TL;DR
This paper investigates how dispersion and nonlinearity influence DNA dynamics using the Peyrard-Bishop model, revealing their interdependence and implications for DNA structural parameters.
Contribution
It demonstrates the mutual dependence of dispersion and nonlinearity coefficients in DNA dynamics and provides a method to estimate DNA structural parameters.
Findings
Dispersion and nonlinearity coefficients are mutually dependent.
A method to estimate DNA helicoidal structure parameters.
Insights into nonlinear DNA behavior through the Peyrard-Bishop model.
Abstract
In the present paper we study the impact of dispersion and nonlinearity on DNA dynamics. We rely on the helicoidal Peyrard-Bishop model and use the fact that nonlinear DNA dynamics represents an interplay between nonlinearity and dispersion. We state that a dispersion coefficient and a coefficient of nonlinearity, existing in nonlinear Schr\"odinger equation, are mutually dependent and show how function and can be obtained. Also, we show how all this can be used to find a possible interval for the parameter describing helicoidal structure of DNA.
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Taxonomy
TopicsOptical Network Technologies · Nonlinear Photonic Systems · Spectroscopy and Quantum Chemical Studies